Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800z |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8135771220000000000 = -1 · 211 · 310 · 510 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,498592,21520812] |
[a1,a2,a3,a4,a6] |
Generators |
[657951:-30741150:343] |
Generators of the group modulo torsion |
j |
428359872306382/254242850625 |
j-invariant |
L |
2.8529297028264 |
L(r)(E,1)/r! |
Ω |
0.14222162288313 |
Real period |
R |
10.029873253444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600w2 9960d2 |
Quadratic twists by: -4 5 |